Please answer my last question got ignored
2 answers:
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Answer:
see explanation
Step-by-step explanation:
The geometric mean of 2 numbers a and b is
The third term is the geometric mean of the first and fifth terms, that is
a₃ = = 31.5
The second term is the geometric mean of the first and third terms, that is
a₂ = = 10.5
The fourth term is the geometric mean of the third and fifth terms, that is
a₄ = = 94.5
Thus the sequence is
3.5, 10.5, 31.5, 94.5, 283.5
Step-by-step explanation:
To find an unknown side of a right angled triangle we use a theorum called pythagorus theorum..
<h3>Formula :</h3>(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2
(h)^2 = (p)^2 + (b)^2
<h3>therefore, </h3>(a) hypotenuse = x cm, base = √30 cm, perpendicular = √12 cm.
<h3>by formula,</h3>→ h^2 = p^2 + b^2
→ (x)^2 = (√12)^2 + (√30)^2
→ x^2 = 12 + 30
→ x^2 = 42
→ x = √42
→ x = 6.480...
→ x = 6.5 cm. (approx)
<h3>___________________________</h3>(b) hypotenuse = √300 cm, base = √200 cm,perpendicular = x cm.
<h3>by formula,</h3>→ h^2 = p^2 + b^2
→ (√300)^2 = (x)^2 + (√200)^2
→ 300 = x^2 + 200
→ x^2 = 300 – 200
→ x^2 = 100
→ x = √100
→ x= 10 cm.
<h3>___________________________</h3>(c) hypotenuse = √66 cm, base = √17 cm,perpendicular = x cm.
<h3>by formula,</h3>→ h^2 = p^2 + b^2
→ (√66)^2 = (x)^2 + (√17)^2
→ 66 = x^2 + 17
→ x^2 = 66 – 17
→ x^2 = 49
→ x = √49
→ x = 7 cm.
<h3>___________________________</h3>(d) hypotenuse = x cm, base = 5√12 cm,perpendicular = 2√3 cm.
<h3>by formula,</h3>→ h^2 = p^2 + b^2
→ (x)^2 = (2√3)^2 + (5√12)^2
→ x^2 = 12 + 50
→ x^2 = 62
→ x = √62
→ x = 7.874...
→ x = 7.9 cm. (approx)
<h3>___________________________</h3><h3>Hope it helps you!!</h3>